Q: What are the factor combinations of the number 156,423,379?

 A:
Positive:   1 x 1564233797 x 2234619743 x 363775347 x 3328157301 x 519679329 x 4754512021 x 7739911057 x 14147
Negative: -1 x -156423379-7 x -22346197-43 x -3637753-47 x -3328157-301 x -519679-329 x -475451-2021 x -77399-11057 x -14147


How do I find the factor combinations of the number 156,423,379?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 156,423,379, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 156,423,379
-1 -156,423,379

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 156,423,379.

Example:
1 x 156,423,379 = 156,423,379
and
-1 x -156,423,379 = 156,423,379
Notice both answers equal 156,423,379

With that explanation out of the way, let's continue. Next, we take the number 156,423,379 and divide it by 2:

156,423,379 ÷ 2 = 78,211,689.5

If the quotient is a whole number, then 2 and 78,211,689.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 156,423,379
-1 -156,423,379

Now, we try dividing 156,423,379 by 3:

156,423,379 ÷ 3 = 52,141,126.3333

If the quotient is a whole number, then 3 and 52,141,126.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 156,423,379
-1 -156,423,379

Let's try dividing by 4:

156,423,379 ÷ 4 = 39,105,844.75

If the quotient is a whole number, then 4 and 39,105,844.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 156,423,379
-1 156,423,379
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1743473013292,02111,05714,14777,399475,451519,6793,328,1573,637,75322,346,197156,423,379
-1-7-43-47-301-329-2,021-11,057-14,147-77,399-475,451-519,679-3,328,157-3,637,753-22,346,197-156,423,379

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